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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 102 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

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  1. 1.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel does not win the match”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun gets a gold star. What can you say about “Arjun does not score above 90”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel goes to the park”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets a gold star. What can you say about “Omkar scores above 90”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan does not win the match”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Aditya finishes the homework, then Aditya goes to the park. Fact: Aditya goes to the park. What can you say about “Aditya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya buys milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not go to the park. What can you say about “Neel does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Riya finishes the homework, then Riya goes to the park. Fact: Riya does not go to the park. What can you say about “Riya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not get a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is not open. What can you say about “Saanvi does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. can't tell
  2. must be false
  3. can't tell
  4. can't tell
  5. can't tell
  6. must be true
  7. must be true
  8. can't tell
  9. can't tell
  10. must be true
  11. can't tell
  12. can't tell
  13. must be false
  14. can't tell
  15. can't tell
  16. can't tell
  17. can't tell
  18. must be true
  19. must be true
  20. can't tell
  21. can't tell
  22. can't tell
  23. must be true
  24. must be true
  25. must be false
  26. can't tell
  27. must be true
  28. must be true
  29. must be false
  30. must be false
  31. must be false
  32. must be false
  33. must be false
  34. must be false
  35. can't tell
  36. must be true
  37. can't tell
  38. can't tell
  39. can't tell
  40. can't tell

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